If you are REALLY interested you could sit here and read everyone's thoughts, logical reasoning, and theories but no one could ever answer your question 100% correctly.
But if you want to here the cool observations and weird inferences of time travel then watch Wormhole on the science discovery channel. The show blows my mind every time I watch it. I'm afraid that any one person (even someone reading this right now) could have the right answer.
My thoughts
Time travel isn't defined as you may think. Ppl think time travel means you as a life form can disapear from the present and live back the times before. But you'll cease to exist if your lifeform left the present. Time travel could mean something else, where humans like us didn't have to leave the present to visit the past. But then it wouldn't be time traveling, it'll be like watching recorded videos in the confort of our own homes!
You could theoretically travel to the past by catching up to the light for a particular instant in time; however, this would only allow you to see images of the past, and, you'd have to be travelling faster than the speed of light to catch up to light that was previously emitted at a particular point in space and time.